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2024 AMC 10B Question 10

AMC10 · 2024 AMC 10B

Question 10

Quadrilateral $ABCD$ is a parallelogram, and $E$ is the midpoint of the side $\overline{AD}.$ Let $F$ be the intersection of lines $EB$ and $AC.$ What is the ratio of the area of quadrilateral $CDEF$ to the area of triangle $CFB?$
  1. $5 : 4$
  2. $4 : 3$
  3. $3 : 2$
  4. $5 : 3$
  5. $2 : 1$